Respuesta :

kudzordzifrancis

Answer:

The smaller number is 18

Step-by-step explanation:

Let the numbers be [tex]x[/tex] and [tex]y[/tex] where x is the smaller number; [tex]y\:>\:x[/tex].

The sum of the numbers is 100.

[tex]x+y=100...(1)[/tex]

The sum of 8 and the larger number is equal to 5 times the smaller number.

[tex]y+8=5x[/tex]

[tex]\Rightarrow y=5x-8...(2)[/tex]

Put equation (2) into equation (1).

[tex]x+5x-8=100[/tex]

[tex]x+5x=100+8[/tex]

[tex]6x=108[/tex]

[tex]x=18[/tex]

zainebamir540

Answer:

The smaller number is 18.

Step-by-step explanation:

We have given that

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number.

Let x and y are two numbers.

Let y is the larger number.

x+y  = 100      eq(1)

y+8 = 5x         eq(2)

From eq(1), we have

y  = 100-x

Putting above eq(3) into eq(2), we have

100-x+8 = 5x

108 = 5x+x

108 = 6x

x  = 108/6

x = 18

Hence, the smaller number is 18.

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